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Maths Definite Integral and Area Under Curves General Subjective Type

Published on: August 12, 2026

Evaluate : dx

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The correct answer is:

CHECK THE SOLUTION.

Sol. Let I = dx

Differentiating with respect to a, we get

= dx

= =

On integrating both sides with respect to a, we get

∴ I = log (a + 1) + C ... (ii)

From (i), we have

I(b) = dx = 0

From (ii), we have

I(b) = log (b + 1) + C

⇒ 0 = log (b + 1) + C

⇒ C = –log (b + 1)

Substituting the value of C in (ii), we get

I = log (a + 1) –log (b + 1) = log

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